**BT 1: Probability**

You have 100 marbles: 50 black marbles and 50 white marbles.
You have two buckets.
You have a blindfolded contestant who is going to pick one marble from
one of the buckets -- the bucket is chosen at random and the marble is
chosen from that bucket at random.
Your challenge is to put the marbles into the buckets in such
a way that you maximize the probability the contestant picks a
black marble.
You must use all the marbles.

Have fun,

Prof. Jacob